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Static 3D triangle mesh compression overview [PDF]
2008 15th IEEE International Conference on Image Processing, 2008 3D triangle meshes are extremely used to model discrete surfaces, and almost always represented with two tables: one for geometry and another for connectivity. While the raw size of a triangle mesh is of around 200 bits per vertex, by coding cleverly (and separately) those two distinct kinds of information it is possible to achieve compression ratios ...
Marcos Avilés, Francisco Morán
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Mesh Simplification Algorithm Based on the Quadratic Error Metric and Triangle Collapse [PDF]
IEEE Access, 2020 Triangular mesh is a commonly used method for representing 3D models. With the continuous development of 3D modeling and scanning technologies, the complexity of the mesh is increasing.
Guangyou Zhou, Shangda Yuan, Sumei Luo
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Harmonic numbers, Catalan's triangle and mesh patterns [PDF]
Discrete Mathematics, 2012 The notion of a mesh pattern was introduced recently, but it has already proved to be a useful tool for description purposes related to sets of permutations. In this paper we study eight mesh patterns of small lengths. In particular, we link avoidance of one of the patterns to the harmonic numbers, while for three other patterns we show their ...
Sergey Kitaev, Jeffrey Liese
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A Triangle Mesh Standardization Method Based on Particle Swarm Optimization. [PDF]
PLoS ONE, 2016 To enhance the triangle quality of a reconstructed triangle mesh, a novel triangle mesh standardization method based on particle swarm optimization (PSO) is proposed. First, each vertex of the mesh and its first order vertices are fitted to a cubic curve
Wuli Wang +5 more
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Triangle mesh skeletonization using non-deterministic voxel thinning and graph spectrum segmentation [PDF]
MATEC Web of Conferences, 2021 In the context of shape processing, the estimation of the medial axis is relevant for the simplification and re-parameterization of 3D bodies. The currently used methods are based on (1) General fields, (2) Geometric methods and (3) voxel-based thinning.
Moreno-Avendano Santiago +2 more
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INDOOR SPATIAL DATA CONSTRUCTION FROM TRIANGLE MESH [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2018 The 3D triangle mesh is widely used to represent indoor space. One of widely used methods of generating 3D triangle mesh data of indoor space is the construction from the point cloud collected using LIDAR.
D. Kim, A. Bolat, K.-J. Li
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Geometric modeling based on triangle meshes [PDF]
ACM SIGGRAPH 2006 Courses on - SIGGRAPH '06, 2006 In the last years triangle meshes have become increasingly popular and are nowad ays intensively used in many different areas of computer graphics and geometry p rocessing. In classical CAGD irregular triangle meshes developed into a valuable alternative to traditional spline surfaces, since their conceptual simplicity a llows for more flexible and ...
Mario Botsch +4 more
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Voxel-Based Indoor Reconstruction from HoloLens Triangle Meshes [PDF]
ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2020 Abstract. Current mobile augmented reality devices are often equipped with range sensors. The Microsoft HoloLens for instance is equipped with a Time-of-Flight (ToF) range camera providing coarse triangle meshes that can be used in custom applications. We suggest to use these triangle meshes for the automatic generation of indoor models that can serve ...
Patrick Hübner +2 more
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About Curvatures on Triangle Meshes
KoG, 2006 U članku je prikazana procjena zakrivljenosti na trokutnim mrežama, bazirana na stranicama. Gipki disk položen je na mrežu oko danog trokuta. Takav prilagodljiv disk koristi se kao geodetska okolina stranice za aproksimaciju normalnih i glavnih zakrivljenosti. Polumjer diska je nezavisni ulazni podatak u algoritmu.
Márta Szilvási-Nagy
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